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Phantasy [73]
3 years ago
9

Which of the following relations is a function?

Mathematics
2 answers:
melamori03 [73]3 years ago
6 0
A.

Option A is the answer since a function does NOT contain repeating x-values. In option A, it has the x-values of 1, 2, 4, 9 which do NOT repeat.
trasher [3.6K]3 years ago
5 0

Answer:

a{(1, 3), (2, 3), (4,3), (9,3)}

Step-by-step explanation:

For the relation to be a function, each x can only go to 1 y

a{(1, 3), (2, 3), (4,3), (9,3)}

function

b{(1, 2), (1, 3), (1, 4), (1,5)}

x=1 goes to 4 different y's so not a function

c{(5, 4), (-6, 5), (4, 5), (4, 0)}

x=4 goes to 2 different y's so not a function

d{(6,-1), (1,4), (2, 3), (6, 1)}​

x = 6 goes to 2 different y's so not a function

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I’m gonna lose the New York and take a plane to Lisbon. When Amanda left the house it was -8°. When the plane landed in the spin
11111nata11111 [884]

Answer:

12

Step-by-step explanation:

Given:

-8

+20°

Solution:

-8+20 = 12

Therefore the answer is 12

3 0
2 years ago
A study by Consumer Reports showed that 64% of supermarket shoppers believe supermarket brands to be as good as national name br
natima [27]

Answer:

Step-by-step explanation:

Given that:

A study is conducted and the study by Consumer Reports showed that 64% of supermarket shoppers believe supermarket brands to be as good as national name brands.

a)

Thus; we formulate the null and the alternative hypotheses as follows:

The proportion is ; \frac{64}{100} = 0.64

Null hypothesis:    {H_0}:p = 0.64  

The Null hypothesis states that there is no evidence that “the percentage of supermarket shoppers believes that the supermarket ketchup is good as the national brand ketchup differ form 64%”.

Alternative hypothesis: {H_a}:p \ne 0.64H

The Alternative hypothesis states that there is evidence that “the percentage of supermarket shoppers believes that the supermarket ketchup is good as the national brand ketchup differ form 64%”.

b)

The proportion of the population = 0.64

The sample size n = 100

The number of shoppers = 52  stating that the supermarket brand was as good as the national brand

The sample proportion \hat  p = \frac{52}{100}

\hat  p = 0.52

The z - value is calculated by the formula:

z = \dfrac{\hat p-p}{\frac{\sqrt{ p(1-p)}}{100 }}

z = \dfrac{0.52-0.64}{\frac{\sqrt{ 0.64(1-0.64)}}{100 }}

z = \dfrac{-0.12}{0.048 }}

z = -2.50

Since z = -2.50

the p-value = 2P(Z ≤ -2.50)

p-value = 2 × 0.0062

The p-value = 0.0124

c)

At  significance level,  ∝ = 0.05 ; The p-value = 0.0124

According to  the rejection rule, if p-value is less than 0.05 then we will reject null hypothesis at ∝ = 0.05

Hence, the p-value =0.0124 < ∝ (=0.05)

According to the reject rule; reject null hypothesis.

Conclusion: There is no evidence at all that the percentage of supermarket shoppers believes that the supermarket ketchup is good as the national brand ketchup differ form 64%.

d) we know that the significance level of ∝  = 0.05

The value{z__{0.05}}  is obtained as:

P\left( {\left| Z \right| \le z} \right) = 0.05

Now; to determine Z ; we locate the probability value of 0.05 form the table of standard normal distribution. Then we proceed to the left until the  first column is reached and  the value is 1.90. Also , we move upward until we reach the top and the value is 0.06. Now; the intersection of the row and column results the area  to the left of z

This implies that :P(Z \leq -1.96)=0.05

The critical value for left tail is -1.96 and the critical value for right tail is 1.96.

Conclusion:

The critical value is -1.96 and the value of test statistic is - 2.50.  Here, we can see that  the value of test statistic is lesser than the critical value. Hence, we can be concluded that there is evidence that reject the null hypothesis.

Therefore, Yes, the national brand ketchup manufacturer is pleased with the conclusion.

5 0
3 years ago
What value of x makes this equation true?
Flauer [41]

Answer:

27

Step-by-step explanation:

27/3-3=6 and 27/9+3=6

so both sides are equal to each other which makes the equation true.

7 0
3 years ago
X/-6= -20. What is x?
lesya692 [45]
The answer is x = 120
6 0
2 years ago
Read 2 more answers
Cole wants to buy carpet to cover his whole living room, except for the tiled floor. The tiled floor is 4 5 6 ft by 2 1 3 ft. Fi
Shtirlitz [24]

Answer:

Area = 49\frac{25}{36}

Step-by-step explanation:

Given

Tile

Length = 4\frac{5}{6}

Width = 2\frac{1}{3}

See attachment for dimension of the floor

Required

Determine the area covered by the carpet

From the attachment, the dimension of the floor is:

Length = 12\frac{1}{4}

Width = 5

Calculate Area

Area = Length * Width

Area = 12\frac{1}{4} * 5

Area = 61\frac{1}{4}

The area of the tiles is:

Area = 4\frac{5}{6} * 2\frac{1}{3}

Area = \frac{29}{6} * \frac{7}{3}

Area = \frac{203}{18}

Area = 11\frac{5}{18}

So, the carpet area is:

Area = Floor\ Area - Tile\ Area

Area = 61\frac{1}{4} - 11\frac{5}{18}

To improper number

Area = \frac{245}{4} - \frac{208}{18}

Take LCM

Area = \frac{2205 - 416}{36}

Area = \frac{1789}{36}

Area = 49\frac{25}{36}

7 0
3 years ago
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